Lecture Electric circuits analysis - Lecture 32: Example related to source free parallel RLC circuit

Main topics covered during this course: Quantities and Units; voltage, current, and resistance; Ohm's Law; energy and power; series circuits; parallel circuits; series-parallel circuits; circuit theorems and conversions; branch, loop, and node analyses; capacitors, inductors; RL, RC, and RLC circuits. | Previous Lecture 31 The Source Free Parallel RLC Circuit Example related to Source free Parallel RLC circuit Example Find v(t) for t > 0 in the RLC circuit of following Fig. Lecture 32 Example Find v(t) for t > 0 in the RLC circuit of following Fig. Example Find v(t) for t > 0 in the RLC circuit of following Fig. Example Find v(t) for t > 0 in the RLC circuit of following Fig. Example Find v(t) for t > 0 in the RLC circuit of following Fig. Example Find v(t) for t > 0 in the RLC circuit of following Fig. Step Response of a Series RLC Circuit Thus, the complete solutions for the overdamped, underdamped, and critically damped cases are: The values of the constants A1 and A2 are obtained from the initial conditions: v(0) and dv(0)/dt . Keep in mind that v and i are, respectively, the voltage across the capacitor and the current through the inductor. Therefore, the above Eq. only applies for finding v. But once the capacitor voltage vC = v is known, we can determine i = C dv/dt, which is the same current through the capacitor, inductor, and resistor. Hence, the voltage across the resistor is vR = iR, while the inductor voltage is vL = L di/dt. Example For the circuit in Fig., find v(t) and i(t) for t > 0. Consider these cases: R = 5 ,R = 4 , andR = 1 . Example For the circuit in Fig., find v(t) and i(t) for t > 0. Consider these cases: R = 5 ,R = 4 , andR = 1 . Example For the circuit in Fig., find v(t) and i(t) for t > 0. Consider these cases: R = 5 ,R = 4 , andR = 1 . Example For the circuit in Fig., find v(t) and i(t) for t > 0. Consider these cases: R = 5 ,R = 4 , andR = 1 . Example For the circuit in Fig., find v(t) and i(t) for t > 0. Consider these cases: R = 5 ,R = 4 , andR = 1 . Example For the circuit in Fig., find v(t) and i(t) for t > 0. Consider these cases: R = 5 ,R = 4 , andR = 1 . Example For the circuit in Fig., find v(t) and i(t) for t > 0. Consider these cases: R = 5 ,R = 4 , andR = 1 . Example For the circuit in Fig., find v(t) | Previous Lecture 31 The Source Free Parallel RLC Circuit Example related to Source free Parallel RLC circuit Example Find v(t) for t > 0 in the RLC circuit of following Fig. Lecture 32 Example Find v(t) for t > 0 in the RLC circuit of following Fig. Example Find v(t) for t > 0 in the RLC circuit of following Fig. Example Find v(t) for t > 0 in the RLC circuit of following Fig. Example Find v(t) for t > 0 in the RLC circuit of following Fig. Example Find v(t) for t > 0 in the RLC circuit of following Fig. Step Response of a Series RLC Circuit Thus, the complete solutions for the overdamped, underdamped, and critically damped cases are: The values of the constants A1 and A2 are obtained from the initial conditions: v(0) and dv(0)/dt . Keep in mind that v and i are, respectively, the voltage across the capacitor and the current through the inductor. Therefore, the above Eq. only applies for finding v. But once the capacitor voltage vC = v is known, we can determine i = C dv/dt, .

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